{
  "id": "math/0312322",
  "version": "v1",
  "published": "2003-12-17T03:35:17.000Z",
  "updated": "2003-12-17T03:35:17.000Z",
  "title": "Dehn surgery, the fundamental group and SU(2)",
  "authors": [
    "P. B. Kronheimer",
    "T. S. Mrowka"
  ],
  "comment": "15 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let K be a non-trivial knot in the 3-sphere and let Y(r) be the 3-manifold obtained by surgery on K with surgery-coefficient a rational number r. We show that there is a homomorphism from the fundamental group of Y(r) to SU(2) with non-cyclic image if r is less than or equal to 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-17T03:35:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57R57",
      "57R58"
    ],
    "keywords": [
      "fundamental group",
      "dehn surgery",
      "non-trivial knot",
      "rational number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12322K"
    }
  }
}